ISRO Scientist or Engineer Electronics 2016

For the following questions answer them individually

A counter is designed using J-K Flip-Flop as shown in fig. Define its count sequence

A PAM source generates four symbols 3 V, 1 V, -1 V and —3 V with probability of p(3) = 0.2, p(1) = 0.3, p(-1) = 0.3, p(—3) = 0.2 respectively. The variance for this source will be

The available power required at a receiving antenna is $$10^-6$$ Watts. Transmitting and receiving antennas have gain of 40dB each. The carrier frequency is 4GHz and the distance between them is 30 miles. The required transmitter power is

A satellite system employs QPSK modulation with 40% excess bandwidth per carrier including guard band. The voice channels use 64 kbps PCM coding. The no. of channels supported by 36 MHz bandwidth of the transponder in bandwidth limited case will be

Which statement is correct for Schottkey diode?

The Nyquist filter has impulse response given by

For an n-channel MOSFET,if condention parameter $$(k_n)$$ is 0.249 $$mA/V^2$$, gate to source voltage $$V_{QS}$$, is $$2V_{TN}$$, where $$V_{TN} = 0.75V.$$ The current will be

A unit step voltage $$2u(t - \theta)$$ is applied in a series RC circuit with $$R = 2Ω, C = 1F$$. Assuming zero initial conditions, find i(t)

Pure Metals generally have

A typical optical fiber has

The best definition of a superconductor is

The covariance function $$C_x (\tau)$$ of a stationary stochastic process x(t) is said to be positive definite. This means that

A uniform plane wave in air impinge at $$45^\circ$$ angle on a lossless dielectric material with dielectric constant $$\epsilon_r$$. The transmitted wave propagates in a $$30^\circ$$ direction with respect to the normal. The valueof $$\epsilon_r$$ is

If a donor type impurity is added to the semiconductor, then at a given temperature, the Fermi Level

Which of the following statement is correct?

A steel pipe is constructed of a material for which $$\mu_r = 200$$ and $$\sigma = 5 \times 10^6 mho/m$$. The outer and inner radii are 8 and 6 mm respectively and the length is 80 m. If the total current carried by the pipe is $$2 \cos10^4 \pi t A,$$ Then the skin depth will be

A small amount of phosphorus is added to silicon so that there are $$2.5 \times 10^{17}$$ conduction electrons per cubic meter and $$9.0 \times 10^{14}$$ holes per cubic meter. Let $$\mu_e = 0.13 m^2/V.s$$ and $$\mu_h = 0.05 m^2/V.s.$$ The resistivity in $$Ω-m$$ will be

Silicon dioxide is used in ICs

Evaluate $$\int_{0}^{1} \int_{0}^{ \sqrt{1 + x^2} } \frac{dx . dy}{1 + x^2 + y^2}$$

Both transistor T1 and T2 in figure have a threshold voltage of 1V. The device parameters K1 and K2 of T1 and T2 are $$36 \mu A/V^2$$ and $$9 \mu A/V^2$$ respectively. The o/p voltage $$V_0$$ is

A ramp input applied to a unity feedback system results in 5% steady state error. The type number andzero frequency gain of the system are

The magnitude of frequency response of an under-sampled second order system is 5 at 0 rad/sec and peaks to $$\frac {10}{\sqrt 3} at 5 \sqrt 2 rad/sec.$$ The transfer function of the system is

A person on trip has a choice between private car and public transport. The probability of using a private car is 0.45. While using public transport, further choice available are bus and metro. Out of which the probability of commuting by a bus is 0.55. In such a situation, the probability (rounded upto two decimals)of using a car, bus and metro respectively would be

Find the z- transform of $$\cos h(n\theta)$$

Newton-Raphton iteration formula for finding $$\sqrt[3]{C}$$, where $$C > 0$$ is

Find the values of $$K_P, K_1 and K_D$$ for PID controller whose characteristics equation has real roots at $$10, \epsilon = 0.8 and \omega_n = 2rad/s$$

According to maximum power transfer theorem, maximum power transfer occurs when

The electric field component of a time harmonic plane EM wave traveling in a non-magnetic lossless dielectric medium has amplitude of 2V/m. If the relative permittivity of the medium is 4, the magnitude of the time-average power density vector $$(in W/m^2)$$ is

The force on a point charge +q kept at a distance d from the surface of an infinite grounded metal plate in a medium of premittivity $$\epsilon$$ is

A material has conductivity of $$10^{-2}$$ mho/m and a relative permittivity of 4. The frequency at which the conduction current in the medium is equal to the displacement current is

A 1 mW video signal having a bandwidth of 100 MHz is transmitted to a receiver through a cable that has 40 dB loss. If the effective one-sided noise spectral density at the receiver is $$10^{-20}$$ Watt/Hz, then the signal-to-noise ratio at the receiver is

In given Combinational logic, X is given by

In a given network (shown in Figure), a steady state is reached with switch k open. At t = 0, which is closed. Determine the valuesof $$I_1, I_2 and I_3$$ at t = 0+.

A system described by the transfer function $$H(s) = \frac{1}{s^3 + as^2 + ks + 3}$$ is stable. The constraints on $$\alpha$$ and $$k$$ are

The signal flow diagram for a certain feedback control system is shown in figure.


Now consider the following set of equations for the nodes

1. $$x2 = a1 \times 1 + a9 \times 3$$
2. $$x3 = a2 \times 2 + a8 \times 4$$
3. $$x4 = a3 \times 3 + a5 \times 2$$
4. $$x5 = a4 \times 4 + a6 \times 2$$

Which of the following are correct?

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